{"_buckets": {"deposit": "c1312f79-9f42-43c3-96b3-b433e9344f26"}, "_deposit": {"id": "8517", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "8517"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00008517", "sets": ["314"]}, "author_link": ["23869", "23870", "23871", "23872", "23873"], "item_10_alternative_title_19": {"attribute_name": "その他のタイトル", "attribute_value_mlt": [{"subitem_alternative_title": "Solution of Non-linear Poisson Equation by Trefftz Method", "subitem_alternative_title_language": "en"}]}, "item_10_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2002", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "7", "bibliographicPageEnd": "2280", "bibliographicPageStart": "2272", "bibliographicVolumeNumber": "43", "bibliographic_titles": [{"bibliographic_title": "情報処理学会論文誌", "bibliographic_titleLang": "ja"}]}]}, "item_10_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Trefftz法は,支配方程式を満足する非特異なT-complete関数を用いた数値解析法である.これまで,2次元や3次元のラプラス方程式,2次元弾性問題などの数値解析に適用され,その数学的特性が研究されている.これに対して,本論文ではTrefftz法を用いた2次元ポアソン方程式の解法について述べる.ポアソン方程式は非同次項を有するので,支配方程式を満足するT-complete関数を決定することは一般的には困難である.そこで,本論文では,未知関数を含む非同次項をデカルト座標系の多項式で近似し,ラプラス方程式のT-complete関数と近似多項式に対応する特解でポアソン方程式の解を近似する.そして,近似解が境界条件値を満足するようにして,未知パラメータを決定する.いくつかの解析例について提案する方法を適用し,その数学的特性を検討する. ", "subitem_description_language": "ja", "subitem_description_type": "Abstract"}, {"subitem_description": "Trefftz method is the boundary-type solution procedure using the non-singular T-complete functions satisfying the governing equation. Until now, it is applied to numerical analyses of the two- and three-dimensional Laplace equations and the 2-dimensional elastic problem and the mathematical characteristic is studied. On the other hand, this paper describes the application of the Trefftz method to solve the boundary value problem of two-dimensional Poisson equation. Since the Poisson equation has non-homogeneous term, it is generally difficult to determine the function satisfying the governing equation. In this paper, non-homogeneous term containing an unknown function is approximated by the polynomial in the Cartesian coordinates and then, the solution for the Poisson equation is approximated with the superposition of the T-complete function of the Laplace equation and the particular solutions related to the approximate polynomal. Unknown parameters included in the approximate solution are determined so that the solution satisfies the boundary conditions. The present scheme is applied to some examples in order to study the numerical properties.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/10264"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "情報処理学会", "subitem_publisher_language": "ja"}]}, "item_10_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "ここに掲載した著作物の利用に関する注意 本著作物の著作権は（社）情報処理学会に帰属します。本著作物は著作権者である情報処理学会の許可のもとに掲載するものです。ご利用に当たっては「著作権法」ならびに「情報処理学会倫理綱領」に従うことをお願いいたします。 ", "subitem_rights_language": "ja"}, {"subitem_rights": "Notice for the use of this material The copyright of this material is retained by the Information Processing Society of Japan (IPSJ). This material is published on this web site with the agreement of the author (s) and the IPSJ. Please be complied with Copyright Law of Japan and the Code of Ethics of the IPSJ if any users wish to reproduce, make derivative work, distribute or make available to the public any part or whole thereof. All Rights Reserved, Copyright (C) Information Processing Society of Japan. Comments are welcome. Mail to address: 　editj\u003cat\u003eipsj.or.jp, please.", "subitem_rights_language": "en"}]}, "item_10_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_10_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "03875806", "subitem_source_identifier_type": "PISSN"}]}, "item_10_text_14": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_text_value": "application/pdf"}]}, "item_1615787544753": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_access_right": {"attribute_name": "アクセス権", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "KITA, EISUKE", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "23869", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "池田, 洋一", "creatorNameLang": "ja"}], "nameIdentifiers": [{"nameIdentifier": "23870", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "IKEDA, YOUICHI", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "23871", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "神谷, 紀生", "creatorNameLang": "ja"}], "nameIdentifiers": [{"nameIdentifier": "23872", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "KAMIYA, NORIO", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "23873", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-19"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "ipsjj_43_7_2272.pdf", "filesize": [{"value": "637.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 637000.0, "url": {"label": "ipsjj_43_7_2272.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/8517/files/ipsjj_43_7_2272.pdf"}, "version_id": "2e2d15bb-810f-47ca-a95b-819d78efbb7c"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "jpn"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Trefftz法による非線形ポアソン方程式の解法", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Trefftz法による非線形ポアソン方程式の解法", "subitem_title_language": "ja"}]}, "item_type_id": "10", "owner": "1", "path": ["314"], "permalink_uri": "http://hdl.handle.net/2237/10264", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2008-07-24"}, "publish_date": "2008-07-24", "publish_status": "0", "recid": "8517", "relation": {}, "relation_version_is_last": true, "title": ["Trefftz法による非線形ポアソン方程式の解法"], "weko_shared_id": -1}